Spatial Reasoning using Cubes and Isometric Drawings
Part Two: Solid to Isometric -- The Same Solid?

In Activity 1, we saw that a shape can have more than one isometric drawing. When do two isometric drawings represent the same shape? How can we decide?

Activity 2: Do They Match?

Directions: Look at each pair of images below.

1. Which the pairs do you think could be drawings of the same object?

Record your conjectures before continuing on.

2. Now click on the images to see them in the drawing tool.

Use the View Tool and "Rotation Controls" options. Were your guesses correct?

3. For the pairs that could represent the same object, list the Rotation Control values you used to verify your answer.

For the pairs that could not represent the same object, explain why.

A.

Load in Applet

B.

Load in Applet

C.

Load in Applet

 

Reflections: What strategies do you use to tell if two drawings can represent the same object? What difficulties did you encounter trying to use the tool to answer the questions? When is it difficult to decide if two drawings can represent the same object?

Click here to go to the next step of the investigation.